On the Structure of Locally Symmetric ManifoldsReport as inadecuate




On the Structure of Locally Symmetric Manifolds - Download this document for free, or read online. Document in PDF available to download.

Resumen

This paper studies structural properties of locally symmetric submanifolds. One of the main result states that a locally symmetric submanifold M of R-n admits a locally symmetric tangential parametrization in an appropriately reduced ambient space. This property has its own interest and is the key element to establish, in a follow-up paper 7, that the spectral set lambda-1 M := {X is an element of S-n : lambdaX is an element of M} consisting of all n x n symmetric matrices having their eigenvalues on M, is a smooth submanifold of the space of symmetric matrices Sn. Here AX is the n-dimensional ordered vector of the eigenvalues of X.Nota general

Artículo de publicación ISI



Author: Daniilidis, Aris; - Malick, Jerome; - Sendov, Hristo; -

Source: http://repositorio.uchile.cl/



DOWNLOAD PDF




Related documents